Problema Solution

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 276 miles in the same time that Dana travels 246 miles. If Chuck's rate of travel is 5 mph more than Dana's, and they travel the same length of time, at what speed does Chuck travel?

Answer provided by our tutors

let


v1 = Chuck's speed of travel


d1 = 276 mi the distance Chuck travels


v2 = Dana's speed of travel


d2 = 246 mi the distance Dana travels


t = the length of the travel of each


Chuck's rate of travel is 5 mph more than Dana's:


v1 = v2 + 5


since speed = distance/time follows time = distance/speed:


d1/v1 = d2/v2


276/v1 = 246/v2


plug v1 = v2 + 5 into the last equation:


276/(v2 + 5) = 246/v2


by solving we find:


v2 = 41 mph


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v1 = v2 + 5


v1 = 41 + 5


v1 = 46 mph


Chuck travels with speed of 46 miles per hour.